【摘要】 在一般复Banach空间的单位球上引入正规化全纯映照族■,考虑满足条件（Df（x））^-1f（x）∈■的正规化局部双全纯映照f（其中x=0是f（x）-x的k+1阶零点）并得到其增长和掩盖定理.所得结果统一和推广了许多已知结论.更多还原

【Abstract】 Let X be a complex Banach space with norm‖·‖,B be the unit ball in X.This introduces a class of holomorphic mappings■on B.Let f（x）be a normalized locally biholomorphic mapping on B such that（Df（x））^-1f（x）∈■and f（x）-x has a zero of order k+1 at x=0.The growth and covering theorems for f（x）are obtained.These results include and generalize many known results.更多还原